G\"{o}del-type Solutions in Cubic Galileon Gravity

TL;DR

This paper investigates G"{o}del-type solutions in cubic galileon gravity, analyzing their consistency with matter fields and identifying conditions for physically viable and causal solutions.

Contribution

It explores G"{o}del-type metrics within cubic galileon theory, deriving constraints on couplings and demonstrating the existence of a causal vacuum solution.

Findings

Constraints on galileon couplings for consistent solutions

Existence of a vacuum causal G"{o}del-type solution

Compatibility with perfect fluid and electromagnetic fields

Abstract

We address the homogeneous in space and time (ST-homogeneous) G\"{o}del-type metrics within the cubic galileon theory, a particular class of generalized galileon theories. We check the consistency of such spacetimes for a physically well-motivated matter content, namely, a perfect fluid and an electromagnetic field. In this scenario, we find that the admissible solutions impose constraints on the constant couplings ($c_{i}$'s) of the cubic galileon theory to ensure the consistency. Also, we show the existence of a vacuum completely causal solution.